Fractal Analysis of Fracture in Rocks and its Application to Evaluate of Geothermal Reservoir.

岩石断裂的分形分析及其在地热储层评价中的应用。

基本信息

批准号：
04452263
负责人：
NAKATSUKA Katsuto
金额：
$ 4.1万
依托单位：
TOHOKU UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (B)
财政年份：
1992
资助国家：
日本
起止时间：
1992 至 1994
项目状态：
已结题

项目摘要

Space filling of natural fracture patterns in sections of the Tamagawa Welded Tuffs shows a statistical self-similarity, and its fractal dimension determined by a box-counting algorithm lied in the range from 1.08 to 1.48. Mean values of fractal dimension in various scales of fracture pattern of the Tamagawa Welded Tuffs were approximately equal. These facts suggest that the fractal dimension of space filling of the zoom sequences had an unique fractal property and the value of the fractal dimension was about 1.28.Fracture shape in the section which is sliced in random orientation also showed fractal property, and its fractal dimension was in the range between 1.01 and 1.05. The fractal observed in space filling and shape on natural rock suggests that the characteristic fractal dimensions could be estimated by fracture pattern of other scales.Fractal dimensions of fracture patterns in natural rock sections were determined using box-counting method and geometrical feactures, including l … More ength distribution, orientation, connectivity, number of fractures and total length, were formulated to construct fractal fracture network model.Fracture network was divided into clusters by connectivity. The fractal dimension and visual impression of fracture network was influenced very much by the maximum cluster. Here, the maximum cluster is defined as the cluster with the maximum number of fractures. The number of fractures in the maximum cluster was proportional to fractal dimension, furthermore, connectivity, number and total length of fractures correlated to fractal dimension. The range of selected parameters (such as number of fractures in the maximum cluster, connectivity, number of fractures and total length of fractures in fracture network) could be determined by the relationship thus obtained.The shape of fractures was first determined and then the maximum cluster, other clusters and single fracture were generated in the above sequence, and are based on input fractal dimension and inter relations among parameters. Computer-generated two-dimensional fracture network patterns and fractal properties were very similar to that of the natural fracture patterns in rock sections. It was confirmed by the box-counting analysis that the same fractal dimension of the obtained model fracture patterns coincided with that of input data. Less

Tamagawa焊接凝灰岩部分中自然断裂模式的空间填充显示出统计的自相似性，其分形维度是由1.08至1.48的盒子计数算法确定的。 Tamagawa焊接凝灰岩的各种骨折模式中分形维的平均值大约相等。这些事实表明，变焦序列的空间填充的分形维度具有独特的分形特性，分形尺寸的值约为1.28.截面中的分布形状，在随机取向中切片也显示了分形特性，并且其分形尺寸在1.01和1.05之间。 The fractal observed in space filling and shape on natural rock suggests that the characteristic fractal dimensions could be estimated by fracture pattern of other scales.Fractal dimensions of fracture patterns in natural rock sections were determined using box-counting method and geometrical features, including l … More engine distribution, orientation, connectivity, number of fractures and total length, were formulated to construct fractal fracture network model.Fracture network was divided通过连通性进入集群。断裂网络的分形维度和视觉印象受到最大簇的影响很大。在这里，最大簇定义为裂缝数量最大数量的簇。最大簇中的断裂数与分形维度成正比，此外，骨折的连通性，数量和总长度与分形维度相关。 The range of selected parameters (such as number of fractures in the maximum cluster, connectivity, number of fractures and total length of fractures in fracture network) could be determined by the relationship thus obtained.The shape of fractures was first determined and then the maximum cluster, other clusters and single fracture were generated in the above sequence, and are based on input fractal dimension and inter relations among parameters.计算机生成的二维断裂网络模式和分形特性与岩石部分中的天然断裂模式非常相似。通过盒子计数分析证实了所获得的模型断裂模式的相同分形维与输入数据的分形维数。较少的